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variants of this functions
HypergeometricPFQ






Mathematica Notation

Traditional Notation









Hypergeometric Functions > HypergeometricPFQ[{a1,a2,a3},{b1,b2},z] > Specific values > For integer and half-integer parameters and fixed z > For fixed z and a1=3, a2>=3 > For fixed z and a1=3, a2=3, a3>=3 > For fixed z and a1=3, a2=3, a3=4 > For fixed z and a1=3, a2=3, a3=4, b1=-5/2





http://functions.wolfram.com/07.27.03.auvv.01









  


  










Input Form





HypergeometricPFQ[{3, 3, 4}, {-(5/2), 1}, z] == (1/(5120 (-1 + z)^11)) (-5120 + 130048 z - 2075648 z^2 + 48481280 z^3 + 456660065 z^4 + 718314470 z^5 + 282818832 z^6 + 23303328 z^7 + 73920 z^8) + (9009 (3267 z^(7/2) + 13552 z^(9/2) + 13352 z^(11/2) + 3552 z^(13/2) + 192 z^(15/2)) ArcSin[Sqrt[z]])/ (1024 Sqrt[1 - z] (-1 + 11 z - 55 z^2 + 165 z^3 - 330 z^4 + 462 z^5 - 462 z^6 + 330 z^7 - 165 z^8 + 55 z^9 - 11 z^10 + z^11))










Standard Form





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MathML Form







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Rule Form





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Date Added to functions.wolfram.com (modification date)





2007-05-02